On the Anomalies and Schwinger Terms in Noncommutative Gauge Theories

Abstract

Invariant (nonplanar) anomaly of noncommutative QED is reexamined. It is found that just as in ordinary gauge theory UV regularization is needed to discover anomalies, in noncommutative case, in addition, an IR regularization is also required to exhibit existence of invariant anomaly. Thus resolving the controversy in the value of invariant anomaly, an expression for the unintergrated anomaly is found. Schwinger terms of the current algebra of the theory are derived.

arXiv commentLaTeX, axodraw.sty, 1 figure; v2: Typos corrected, References added, Version to appear in Int. J. Mod. Phys. A (2006)

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Cited by in corpus (4)

• Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• Translational-invariant noncommutative gauge theory
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories